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The hospital bed is one of the most important resources in the hospital system of any health institution. The pressure on the provision of beds affects the strategic planning and admission policy of the different hospitals, The objective of this work is to show the usefulness of linear programming to comparatively analyze productivity in the use and management of the bed resource of the national specialty hospitals of the Ministry of Health of Panama in the period 2019. A study will also be made on the different scientific texts that have spoken on the subject, compiling an approximate number of 10 scientific articles. The linear programming model is used to analyze the indicators of stay, occupancy, replacement interval and discharge per bed for one year in each of the national hospitals. The methodology used was the QM program for Windows with the Linear Programming model to maximize utilities based on the number of hospital beds. The result of the program indicates that the objective function of the model will be optimized by increasing the number of beds per day. Regarding bibliometric analysis, 40% of the researched articles that use linear and whole programming focus their results in the area of operations and health research. In conclusion, if the bed of discharge of patients in hospitals increases, the maximization of profits in hospitals would improve for the following years.